Meghan and her mother appear to be very close, and Ragland even accompanied Meghan and Harry for the Invictus Games closing ceremony in September 2017. Ragland is reportedly already in the UK, so she may be on-hand to prepare for her potential new duties.

Harry's father Prince Charles could also fill the role.

Prince Charles is a popular guess.
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If Meghan wants to stick with the tradition of having an older male figure walk her down the aisle, Prince Charles would be the best fit when it comes to Harry's family. He has no official role in the wedding so far, and has also expressed his excitement towards Meghan joining the family, so he also seems likely to step in with odds of 14/1.

Surprisingly, Meghan's "Suits" co-stars are also popular favorites.

Meghan Markle and Patrick J. Adams in "Suits."
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Meghan has reportedly invited several of her fellow "Suits" stars to celebrate the wedding, and some people think one of them may nab the job of walking her down the aisle. So far Gabriel Macht and her on-screen husband Patrick J. Adams are tied with odds of 14/1.

Some people think Prince Philip is a slight possibility.

Prince Philip attending the Windsor Horse Show in early May.
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Considering his recent hip replacement surgery in April, this seems like a less likely option. However, the 96-year-old was seen attending the Windsor Horse Show in early May, so he may be recovered enough to make an appearance at the wedding. He currently has odds of 20/1.

Kate Middleton is the least popular option, but perhaps the most interesting.

Kate Middleton currently has the lowest odds.
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Many comparisons have been drawn between the two, from their fashion sense to their royal relationships, and having Middleton accompany her down the aisle could be an interesting show of solidarity between the future sisters-in-law. Middleton currently has odds of 100/1, so people don't seem to find this scenario highly likely, especially considering she just gave birth a few weeks ago.